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2 years ago

13

Dreakfast cereal will cost. C TOw any learners can a school enrol if there are 12 teachere ratio of learners to teachers is 30:1

7 hers and the Re he cost of ffte

1 answer:

rodikova [14]2 years ago

7 0

Answer:

20 teachers

Step-by-step explanation:

plato ofc

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In 2000, the average price of a football ticket for a Minnesota Vikings game was $48.28. During the next 20 years, the price inc

saul85 [17]

$y = 48.28(1.06)^t$ is the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found

<em><u>Solution:</u></em>

Given that,

In 2000, the average price of a football ticket for a Minnesota Vikings game was $48.28

During the next 20 years, the price increased an average of 6% each year

<em><u>The increasing function is given by:</u></em>

$y = a(1+r)^t$

Where,

y is the value after t years

t is the number of years

a is the initial value

r is rate of increase in decimal

From given,

a = 48.28

$r = 6 \% = \frac{6}{100} = 0.06$

<em><u>Substituting the values we get,</u></em>

$y = 48.28(1+0.06)^t\\\\y = 48.28(1.06)^t$

Thus the model giving the annual price p (in dollars) of a ticket t in years after 2000 is found

5 0

3 years ago

Whats the extreme value?y=3(x+5)^(2)-4

natta225 [31]

Answer:

-4

Step-by-step explanation:

y = 3(x+5)²-4
y= 3(x²+10x+25)-4
y= 3x²+30x+75-4
y= 3x²+30x+71

Derivate the function

y' = 6x+30

solve the equation y'= 0

y'= 6x+30
6x+30= 0
6x= -30
x = -5

The extrme value of y is reached in -5

y = 3(-5+5)²-4= -4

6 0

3 years ago

Which of the following is a non-linear equation?

Lana71 [14]

Answer:

iv ; xy + x/y = 3

Step-by-step explanation:

A non linear equation is one in which there is no product of two different variables or the same variable

What this mean is that we have the highest polynomial power as 1 or we simply have polynomials of degree 1

Looking at the given options, we can see the product xy

What this mean is that the polynomial is of degree 2 and that makes the equation a non linear as we have a polynomial of more than 1 degree

8 0

2 years ago

What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)

DiKsa [7]

The correct answer is: [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

→ " y = (x <span>− 8) (x + 3) " ;   </span>← Note: Replace the "f(x)" with: "y" ;

→ Find the "y-intercept".
___________________________________________________________

→ Note: The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" .

→ So; we set plug in "0" for "x" into our equation; and solve for "y" ;

  → " y = (x − 8) (x + 3) " ;

  →   y = (0 − 8) (0 + 3) ;

  → y = (-8) * (3) ;

  → y = - 24 ;
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:

the point at which: "x = 0 ; y = -24 " ;

→ that is; the point the coordinates:  " (0, - 24) " ;
___________________________________________________________
→ which is: Answer choice: [C]: " (0, - 24) " .
___________________________________________________________

9 0

3 years ago

Read 2 more answers

Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$

Putting the values from the table,

$m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}$

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

$\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937$

Now, for the y-intercept,

$c =\frac{\sum y -m(\sum x)}{N}$

Putting the values,

$c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765$

Now, putting the values of c and m, in the Slope-Intercept formula,

$y=0.937x+12.765$

3 0

3 years ago